LCM for 24 and 46

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 24 and 46?

Answer

LCM of 24 and 46 is 552

(Five hundred fifty-two)

Finding LCM for 24 and 46 using GCF of these numbers

The first method to find LCM for numbers 24 and 46 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 46 is 2, so

LCM = (24 × 46) ÷ 2

LCM = 1104 ÷ 2

LCM = 552

Finding LCM for 24 and 46 by Listing Multiples

The second method to find LCM for numbers 24 and 46 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600

Multiples of 46: 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644

So the LCM for 24 and 46 is 552

Finding LCM for 24 and 46 by Prime Factorization

Another method to find LCM for numbers 24 and 46 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)

All Prime Factors of 46: 2, 23 (exponent form: 21, 231)

23 × 31 × 231 = 552

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 24 and 46? (The answer is: 552). Select the first number (e.g. '24') and the second number (e.g. '46'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
24972
241648
241872
2425600
2427216
2428168
2430120
2431744
243296
2435840
243672
2440120
2441984
2442168
2444264
2445360
2446552
244848
2451408
24531272
2454216
24551320
2456168
2457456
2460120

FAQ

What's the Least Common Multiple (LCM) of 24 and 46?

LCM of 24 and 46 is 552

How to find the LCM of 24 and 46 using prime factorization?

To find the LCM of 24 and 46, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 552.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 24 and 46: LCM = 552, GCF = 2.

See Also